{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bella Lui - EPFL - 2020\n",
    "\n",
    "Bella Lui Kaltbrunn Mission from ERT (EPFL Rocket Team)\n",
    "Permission to use flight data given by Antoine Scardigli, 2020\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing libraries\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy.signal import savgol_filter\n",
    "\n",
    "from rocketpy import Environment, Flight, Function, Rocket, SolidMotor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use(\"seaborn-v0_8-dark-palette\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## RocketPy Simulation\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define a dictionary with the inputs for the simulation\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "parameters = {\n",
    "    # Mass Details\n",
    "    \"rocket_mass\": (18.227 - 0.001, 0.010),  # propellant mass = 1.373\n",
    "    # propulsion details\n",
    "    \"impulse\": (2157, 0.03 * 2157),\n",
    "    \"burn_time\": (2.43, 0.1),\n",
    "    \"nozzle_radius\": (44.45 / 1000, 0.001),\n",
    "    \"throat_radius\": (21.4376 / 1000, 0.001),\n",
    "    \"grain_separation\": (3 / 1000, 1 / 1000),\n",
    "    \"grain_density\": (782.4, 30),\n",
    "    \"grain_outer_radius\": (85.598 / 2000, 0.001),\n",
    "    \"grain_initial_inner_radius\": (33.147 / 1000, 0.002),\n",
    "    \"grain_initial_height\": (152.4 / 1000, 0.001),\n",
    "    # Aerodynamic Details\n",
    "    \"inertia_i\": (0.78267, 0.03 * 0.78267),\n",
    "    \"inertia_z\": (0.064244, 0.03 * 0.064244),\n",
    "    \"radius\": (156 / 2000, 0.001),\n",
    "    \"distance_rocket_nozzle\": (-1.1356, 0.100),\n",
    "    \"distance_rocket_propellant\": (-1, 0.100),\n",
    "    \"power_off_drag\": (1, 0.05),\n",
    "    \"power_on_drag\": (1, 0.05),\n",
    "    \"nose_length\": (0.242, 0.001),\n",
    "    \"nose_distance_to_cm\": (1.3, 0.100),\n",
    "    \"fin_span\": (0.200, 0.001),\n",
    "    \"fin_root_chord\": (0.280, 0.001),\n",
    "    \"fin_tip_chord\": (0.125, 0.001),\n",
    "    \"fin_distance_to_cm\": (-0.75, 0.100),\n",
    "    \"tail_top_radius\": (156 / 2000, 0.001),\n",
    "    \"tail_bottom_radius\": (135 / 2000, 0.001),\n",
    "    \"tail_length\": (0.050, 0.001),\n",
    "    \"tail_distance_to_cm\": (-1.0856, 0.001),\n",
    "    # Launch and Environment Details\n",
    "    \"wind_direction\": (0, 5),\n",
    "    \"wind_speed\": (1, 0.05),\n",
    "    \"inclination\": (89, 1),\n",
    "    \"heading\": (45, 5),\n",
    "    \"rail_length\": (4.2, 0.001),\n",
    "    # Parachute Details\n",
    "    \"CdS_drogue\": (np.pi / 4, 0.20 * np.pi / 4),\n",
    "    \"lag_rec\": (1, 0.020),\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Environment\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the `Environment` object\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Environment conditions\n",
    "env = Environment(\n",
    "    gravity=9.81,\n",
    "    latitude=47.213476,\n",
    "    longitude=9.003336,\n",
    "    date=(2020, 2, 22, 13),\n",
    "    elevation=407,\n",
    ")\n",
    "\n",
    "env.set_atmospheric_model(\n",
    "    type=\"Reanalysis\",\n",
    "    file=\"../../data/weather/bella_lui_weather_data_ERA5.nc\",\n",
    "    dictionary=\"ECMWF\",\n",
    ")\n",
    "\n",
    "env.max_expected_height = 1000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the `Environment` object\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Gravity Details\n",
      "\n",
      "Acceleration of gravity at surface level:    9.8100 m/s²\n",
      "Acceleration of gravity at   1.000 km (ASL): 9.8100 m/s²\n",
      "\n",
      "\n",
      "Launch Site Details\n",
      "\n",
      "Launch Date: 2020-02-22 13:00:00 UTC\n",
      "Launch Site Latitude: 47.21348°\n",
      "Launch Site Longitude: 9.00334°\n",
      "Reference Datum: SIRGAS2000\n",
      "Launch Site UTM coordinates: 500252.61 E    5228887.37 N\n",
      "Launch Site UTM zone: 32T\n",
      "Launch Site Surface Elevation: 407.0 m\n",
      "\n",
      "\n",
      "Atmospheric Model Details\n",
      "\n",
      "Atmospheric Model Type: Reanalysis\n",
      "Reanalysis Maximum Height: 1.000 km\n",
      "Reanalysis Time Period: from 2020-02-22 00:00:00 to 2020-02-22 18:00:00 utc\n",
      "Reanalysis Hour Interval: 4 hrs\n",
      "Reanalysis Latitude Range: From 48.0° to 46.0°\n",
      "Reanalysis Longitude Range: From 8.0° to 10.0°\n",
      "\n",
      "Surface Atmospheric Conditions\n",
      "\n",
      "Surface Wind Speed: 213.21 m/s\n",
      "Surface Wind Direction: 33.21°\n",
      "Surface Wind Heading: 1.26°\n",
      "Surface Pressure: 980.43 hPa\n",
      "Surface Temperature: 286.63 K\n",
      "Surface Air Density: 1.192 kg/m³\n",
      "Surface Speed of Sound: 339.39 m/s\n",
      "\n",
      "\n",
      "Earth Model Details\n",
      "\n",
      "Earth Radius at Launch site: 6366.66 km\n",
      "Semi-major Axis: 6378.14 km\n",
      "Semi-minor Axis: 6356.75 km\n",
      "Flattening: 0.0034\n",
      "\n",
      "\n",
      "Atmospheric Model Plots\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x450 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "env.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Motor\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the `SolidMotor` object\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "k828fj = SolidMotor(\n",
    "    thrust_source=\"../../data/motors/aerotech/AeroTech_K828FJ.eng\",\n",
    "    burn_time=parameters.get(\"burn_time\")[0],\n",
    "    dry_mass=0.001,\n",
    "    dry_inertia=(0, 0, 0),\n",
    "    center_of_dry_mass_position=0.3,\n",
    "    grains_center_of_mass_position=0.3,\n",
    "    grain_number=3,\n",
    "    grain_separation=parameters.get(\"grain_separation\")[0],\n",
    "    grain_density=parameters.get(\"grain_density\")[0],\n",
    "    grain_outer_radius=parameters.get(\"grain_outer_radius\")[0],\n",
    "    grain_initial_inner_radius=parameters.get(\"grain_initial_inner_radius\")[0],\n",
    "    grain_initial_height=parameters.get(\"grain_initial_height\")[0],\n",
    "    nozzle_radius=parameters.get(\"nozzle_radius\")[0],\n",
    "    throat_radius=parameters.get(\"throat_radius\")[0],\n",
    "    interpolation_method=\"linear\",\n",
    "    nozzle_position=0,\n",
    "    coordinate_system_orientation=\"nozzle_to_combustion_chamber\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "k828fj.plots.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nozzle Details\n",
      "Nozzle Radius: 0.04445 m\n",
      "Nozzle Throat Radius: 0.0214376 m\n",
      "\n",
      "Grain Details\n",
      "Number of Grains: 3\n",
      "Grain Spacing: 0.003 m\n",
      "Grain Density: 782.4 kg/m3\n",
      "Grain Outer Radius: 0.042799 m\n",
      "Grain Inner Radius: 0.033146999999999996 m\n",
      "Grain Height: 0.1524 m\n",
      "Grain Volume: 0.000 m3\n",
      "Grain Mass: 0.275 kg\n",
      "\n",
      "Motor Details\n",
      "Total Burning Time: 2.43 s\n",
      "Total Propellant Mass: 0.824 kg\n",
      "Average Propellant Exhaust Velocity: 2514.035 m/s\n",
      "Average Thrust: 852.260 N\n",
      "Maximum Thrust: 1303.79 N at 0.04 s after ignition.\n",
      "Total Impulse: 2070.992 Ns\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "k828fj.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rocket\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create the `Rocket` object\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "bella_lui = Rocket(\n",
    "    radius=parameters.get(\"radius\")[0],\n",
    "    mass=parameters.get(\"rocket_mass\")[0],\n",
    "    inertia=(\n",
    "        parameters.get(\"inertia_i\")[0],\n",
    "        parameters.get(\"inertia_i\")[0],\n",
    "        parameters.get(\"inertia_z\")[0],\n",
    "    ),\n",
    "    power_off_drag=0.43,\n",
    "    power_on_drag=0.43,\n",
    "    center_of_mass_without_motor=0,\n",
    ")\n",
    "bella_lui.set_rail_buttons(0.1, -0.5)\n",
    "bella_lui.add_motor(motor=k828fj, position=parameters.get(\"distance_rocket_nozzle\")[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adding aerodynamic surfaces\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "nose_cone = bella_lui.add_nose(\n",
    "    length=parameters.get(\"nose_length\")[0],\n",
    "    kind=\"tangent\",\n",
    "    position=parameters.get(\"nose_distance_to_cm\")[0]\n",
    "    + parameters.get(\"nose_length\")[0],\n",
    ")\n",
    "fin_set = bella_lui.add_trapezoidal_fins(\n",
    "    3,\n",
    "    span=parameters.get(\"fin_span\")[0],\n",
    "    root_chord=parameters.get(\"fin_root_chord\")[0],\n",
    "    tip_chord=parameters.get(\"fin_tip_chord\")[0],\n",
    "    position=parameters.get(\"fin_distance_to_cm\")[0],\n",
    ")\n",
    "tail = bella_lui.add_tail(\n",
    "    top_radius=parameters.get(\"tail_top_radius\")[0],\n",
    "    bottom_radius=parameters.get(\"tail_bottom_radius\")[0],\n",
    "    length=parameters.get(\"tail_length\")[0],\n",
    "    position=parameters.get(\"tail_distance_to_cm\")[0],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adding Parachute\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "Drogue = bella_lui.add_parachute(\n",
    "    \"Drogue\",\n",
    "    cd_s=parameters.get(\"CdS_drogue\")[0],\n",
    "    trigger=\"apogee\",\n",
    "    sampling_rate=105,\n",
    "    lag=parameters.get(\"lag_rec\")[0],\n",
    "    noise=(0, 8.3, 0.5),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Modify the Drag Coefficient curve\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define aerodynamic drag coefficients\n",
    "bella_lui.power_off_drag = Function(\n",
    "    [\n",
    "        (0.01, 0.51),\n",
    "        (0.02, 0.46),\n",
    "        (0.04, 0.43),\n",
    "        (0.28, 0.43),\n",
    "        (0.29, 0.44),\n",
    "        (0.45, 0.44),\n",
    "        (0.49, 0.46),\n",
    "    ],\n",
    "    \"Mach Number\",\n",
    "    \"Drag Coefficient with Power Off\",\n",
    "    \"linear\",\n",
    "    \"constant\",\n",
    ")\n",
    "bella_lui.power_on_drag = Function(\n",
    "    [\n",
    "        (0.01, 0.51),\n",
    "        (0.02, 0.46),\n",
    "        (0.04, 0.43),\n",
    "        (0.28, 0.43),\n",
    "        (0.29, 0.44),\n",
    "        (0.45, 0.44),\n",
    "        (0.49, 0.46),\n",
    "    ],\n",
    "    \"Mach Number\",\n",
    "    \"Drag Coefficient with Power On\",\n",
    "    \"linear\",\n",
    "    \"constant\",\n",
    ")\n",
    "bella_lui.power_off_drag *= parameters.get(\"power_off_drag\")[0]\n",
    "bella_lui.power_on_drag *= parameters.get(\"power_on_drag\")[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Inertia Details\n",
      "\n",
      "Rocket Mass: 18.226 kg (without motor)\n",
      "Rocket Dry Mass: 18.227 kg (with unloaded motor)\n",
      "Rocket Loaded Mass: 19.051 kg\n",
      "Rocket Inertia (with unloaded motor) 11: 0.783 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 22: 0.783 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 33: 0.064 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 12: 0.000 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 13: 0.000 kg*m2\n",
      "Rocket Inertia (with unloaded motor) 23: 0.000 kg*m2\n",
      "\n",
      "Geometrical Parameters\n",
      "\n",
      "Rocket Maximum Radius: 0.078 m\n",
      "Rocket Frontal Area: 0.019113 m2\n",
      "\n",
      "Rocket Distances\n",
      "Rocket Center of Dry Mass - Center of Mass without Motor: 0.000 m\n",
      "Rocket Center of Dry Mass - Nozzle Exit: 1.136 m\n",
      "Rocket Center of Dry Mass - Center of Propellant Mass: 0.836 m\n",
      "Rocket Center of Mass - Rocket Loaded Center of Mass: 0.036 m\n",
      "\n",
      "\n",
      "Aerodynamics Lift Coefficient Derivatives\n",
      "\n",
      "Nose Cone Lift Coefficient Derivative: 2.000/rad\n",
      "Fins Lift Coefficient Derivative: 10.281/rad\n",
      "Tail Lift Coefficient Derivative: -0.502/rad\n",
      "\n",
      "Center of Pressure\n",
      "\n",
      "Nose Cone Center of Pressure position: 1.433 m\n",
      "Fins Center of Pressure position: -0.871 m\n",
      "Tail Center of Pressure position: -1.110 m\n",
      "\n",
      "Stability\n",
      "\n",
      "Center of Mass position (time=0): -0.036 m\n",
      "Center of Pressure position (time=0): -0.469 m\n",
      "Initial Static Margin (mach=0, time=0): 2.777 c\n",
      "Final Static Margin (mach=0, time=burn_out): 3.009 c\n",
      "Rocket Center of Mass (time=0) - Center of Pressure (mach=0): 0.433 m\n",
      "\n",
      "\n",
      "Parachute Details\n",
      "\n",
      "Parachute Drogue with a cd_s of 0.7854 m2\n",
      "Ejection signal trigger: At Apogee\n",
      "Ejection system refresh rate: 105.000 Hz\n",
      "Time between ejection signal is triggered and the parachute is fully opened: 1.0 s\n",
      "\n"
     ]
    }
   ],
   "source": [
    "bella_lui.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bella_lui.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Flight\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Flight\n",
    "test_flight = Flight(\n",
    "    rocket=bella_lui,\n",
    "    environment=env,\n",
    "    rail_length=parameters.get(\"rail_length\")[0],\n",
    "    inclination=parameters.get(\"inclination\")[0],\n",
    "    heading=parameters.get(\"heading\")[0],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Initial Conditions\n",
      "\n",
      "Initial time: 0.000 s\n",
      "Position - x: 0.00 m | y: 0.00 m | z: 407.00 m\n",
      "Velocity - Vx: 0.00 m/s | Vy: 0.00 m/s | Vz: 0.00 m/s\n",
      "Attitude (quaternions) - e0: 1.000 | e1: -0.006 | e2: 0.006 | e3: 0.000\n",
      "Euler Angles - Spin φ : 45.00° | Nutation θ: -1.00° | Precession ψ: -45.00°\n",
      "Angular Velocity - ω1: 0.00 rad/s | ω2: 0.00 rad/s | ω3: 0.00 rad/s\n",
      "Initial Stability Margin: 2.777 c\n",
      "\n",
      "\n",
      "Surface Wind Conditions\n",
      "\n",
      "Frontal Surface Wind Speed: 1.23 m/s\n",
      "Lateral Surface Wind Speed: 0.26 m/s\n",
      "\n",
      "\n",
      "Launch Rail\n",
      "\n",
      "Launch Rail Length: 4.2 m\n",
      "Launch Rail Inclination: 89.00°\n",
      "Launch Rail Heading: 45.00°\n",
      "\n",
      "\n",
      "Rail Departure State\n",
      "\n",
      "Rail Departure Time: 0.359 s\n",
      "Rail Departure Velocity: 16.184 m/s\n",
      "Rail Departure Stability Margin: 2.818 c\n",
      "Rail Departure Angle of Attack: 4.457°\n",
      "Rail Departure Thrust-Weight Ratio: 5.416\n",
      "Rail Departure Reynolds Number: 1.691e+05\n",
      "\n",
      "\n",
      "Burn out State\n",
      "\n",
      "Burn out time: 2.430 s\n",
      "Altitude at burn out: 529.975 m (ASL) | 122.975 m (AGL)\n",
      "Rocket speed at burn out: 85.171 m/s\n",
      "Freestream velocity at burn out: 85.219 m/s\n",
      "Mach Number at burn out: 0.251\n",
      "Kinetic energy at burn out: 6.611e+04 J\n",
      "\n",
      "\n",
      "Apogee State\n",
      "\n",
      "Apogee Time: 10.608 s\n",
      "Apogee Altitude: 867.540 m (ASL) | 460.540 m (AGL)\n",
      "Apogee Freestream Speed: 3.953 m/s\n",
      "Apogee X position: -9.309 m\n",
      "Apogee Y position: -21.286 m\n",
      "Apogee latitude: 47.2132844°\n",
      "Apogee longitude: 9.0032127°\n",
      "\n",
      "\n",
      "Parachute Events\n",
      "\n",
      "Parachute: Drogue\n",
      "\tEjection time: 10.610 s\n",
      "\tInflation time: 11.610 s\n",
      "\tFreestream speed at inflation: 10.243 m/s\n",
      "\tAltitude at inflation: 862.718 m (ASL) | 460.540 m (AGL)\n",
      "\n",
      "\n",
      "Impact Conditions\n",
      "\n",
      "Time of impact: 35.827 s\n",
      "X impact: -1.328 m\n",
      "Y impact: -11.114 m\n",
      "Altitude impact: 407.000 m (ASL) | 0.000 m (AGL) \n",
      "Latitude: 47.2133760°\n",
      "Longitude: 9.0033184°\n",
      "Vertical velocity at impact: -19.574 m/s\n",
      "Number of parachutes triggered until impact: 1\n",
      "\n",
      "\n",
      "Stability Margin\n",
      "\n",
      "Initial Stability Margin: 2.777 c at 0.00 s\n",
      "Out of Rail Stability Margin: 2.818 c at 0.36 s\n",
      "Maximum Stability Margin: 3.031 c at 2.40 s\n",
      "Minimum Stability Margin: 2.777 c at 0.00 s\n",
      "\n",
      "\n",
      "Maximum Values\n",
      "\n",
      "Maximum Speed: 86.219 m/s at 2.26 s\n",
      "Maximum Mach Number: 0.254 Mach at 2.26 s\n",
      "Maximum Reynolds Number: 8.918e+05 at 2.25 s\n",
      "Maximum Dynamic Pressure: 4.387e+03 Pa at 2.25 s\n",
      "Maximum Acceleration During Motor Burn: 58.470 m/s² at 0.04 s\n",
      "Maximum Gs During Motor Burn: 5.962 g at 0.04 s\n",
      "Maximum Acceleration After Motor Burn: 0.000 m/s² at 0.00 s\n",
      "Maximum Gs After Motor Burn: 0.000 Gs at 0.00 s\n",
      "Maximum Stability Margin: 3.031 c at 2.40 s\n",
      "Maximum Upper Rail Button Normal Force: 0.204 N\n",
      "Maximum Upper Rail Button Shear Force: 0.042 N\n",
      "Maximum Lower Rail Button Normal Force: 2.481 N\n",
      "Maximum Lower Rail Button Shear Force: 0.518 N\n",
      "\n",
      "\n",
      "Numerical Integration Settings\n",
      "\n",
      "Maximum Allowed Flight Time: 600.00 s\n",
      "Maximum Allowed Time Step: inf s\n",
      "Minimum Allowed Time Step: 0.00e+00 s\n",
      "Relative Error Tolerance: 1e-06\n",
      "Absolute Error Tolerance: [0.001, 0.001, 0.001, 0.001, 0.001, 0.001, 1e-06, 1e-06, 1e-06, 1e-06, 0.001, 0.001, 0.001]\n",
      "Allow Event Overshoot: True\n",
      "Terminate Simulation on Apogee: False\n",
      "Number of Time Steps Used: 354\n",
      "Number of Derivative Functions Evaluation: 78\n",
      "Average Function Evaluations per Time Step: 0.220\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test_flight.info()\n",
    "test_flight.plots.trajectory_3d()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison with the real flight data\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load the available flight data: altitude above ground level (m), vertical velocity (m/s), time (s)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "flight_data = np.loadtxt(\n",
    "    \"../../data/rockets/EPFL_Bella_Lui/bella_lui_flight_data_filtered.csv\",\n",
    "    skiprows=1,\n",
    "    delimiter=\",\",\n",
    "    usecols=(2, 3, 4),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Convert to Function objects\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "actual_z = Function(\n",
    "    source=np.column_stack((flight_data[:573, 0], flight_data[:573, 1])),\n",
    "    inputs=\"Time (s)\",\n",
    "    outputs=\"Altitude above ground level (m)\",\n",
    "    interpolation=\"linear\",\n",
    "    extrapolation=\"zero\",\n",
    ")\n",
    "\n",
    "actual_vz = Function(\n",
    "    source=np.column_stack((flight_data[:573, 0], flight_data[:573, 2])),\n",
    "    inputs=\"Time (s)\",\n",
    "    outputs=\"Vertical velocity (m/s)\",\n",
    "    interpolation=\"linear\",\n",
    "    extrapolation=\"zero\",\n",
    ")\n",
    "\n",
    "# the actual acceleration will be calculated as the derivative of the actual velocity\n",
    "actual_az = actual_vz.derivative_function()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We may need to filter the acceleration data to reduce the noise\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "az_filtered = savgol_filter(x=actual_az.source[:, 1], window_length=51, polyorder=3)\n",
    "\n",
    "actual_az_filtered = Function(\n",
    "    source=np.column_stack((actual_az.source[:, 0], az_filtered)),\n",
    "    inputs=\"Time (s)\",\n",
    "    outputs=\"Vertical acceleration (m/s^2)\",\n",
    "    interpolation=\"linear\",\n",
    "    extrapolation=\"zero\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Function.compare_plots(\n",
    "    [(actual_az, \"actual\"), (actual_az_filtered, \"filtered\")],\n",
    "    xlabel=\"Time (s)\",\n",
    "    ylabel=\"Vertical acceleration (m/s^2)\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Get the simulated results\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "simulated_z = test_flight.z - env.elevation\n",
    "simulated_vz = test_flight.vz\n",
    "simulated_az = test_flight.az\n",
    "simulated_t_final = test_flight.t_final\n",
    "simulated_apogee = test_flight.apogee - env.elevation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plots comparison\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(actual_z[:, 0], actual_z[:, 1], label=\"Flight data\")\n",
    "plt.plot(simulated_z[:, 0], simulated_z[:, 1], label=\"RocketPy\")\n",
    "plt.xlabel(\"Time (s)\")\n",
    "plt.ylabel(\"Altitude (m)\")\n",
    "plt.ylim(0, round(simulated_apogee, -2))\n",
    "plt.xlim(0, round(simulated_t_final, -1))\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(actual_vz[:, 0], actual_vz[:, 1], label=\"Flight data\")\n",
    "plt.plot(simulated_vz[:, 0], simulated_vz[:, 1], label=\"RocketPy\")\n",
    "plt.xlabel(\"Time (s)\")\n",
    "plt.ylabel(\"Vertical velocity (m/s)\")\n",
    "# plt.ylim()\n",
    "plt.xlim(0, round(simulated_t_final, -1))\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(actual_az_filtered[:, 0], actual_az_filtered[:, 1], label=\"Flight data\")\n",
    "plt.plot(simulated_az[:, 0], simulated_az[:, 1], label=\"RocketPy\")\n",
    "plt.xlabel(\"Time (s)\")\n",
    "plt.ylabel(\"Vertical acceleration (m/s^2)\")\n",
    "# plt.ylim()\n",
    "plt.xlim(0, round(simulated_t_final, -1))\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Numerical comparison\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Apogee (AGL)\n",
      "RocketPy: 460.54 m\n",
      "Real data: 458.97 m\n",
      "Absolute error: 1.57 m\n",
      "Relative error: 0.34 %\n"
     ]
    }
   ],
   "source": [
    "print(\"Apogee (AGL)\")\n",
    "print(f\"RocketPy: {simulated_apogee:.2f} m\")\n",
    "print(f\"Real data: {actual_z.max:.2f} m\")\n",
    "diff = abs(actual_z.max - simulated_apogee)\n",
    "print(f\"Absolute error: {diff:.2f} m\")\n",
    "print(f\"Relative error: {diff / actual_z.max * 100:.2f} %\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max Velocity\n",
      "RocketPy:  86.17 m/s\n",
      "Real data: 90.00 m/s\n",
      "Absolute error: -3.83 m/s\n",
      "Relative error: 4.25 %\n"
     ]
    }
   ],
   "source": [
    "print(\"Max Velocity\")\n",
    "print(f\"RocketPy:  {simulated_vz.max:.2f} m/s\")\n",
    "print(f\"Real data: {actual_vz.max:.2f} m/s\")\n",
    "velocity_error = simulated_vz.max - actual_vz.max\n",
    "print(f\"Absolute error: {velocity_error:.2f} m/s\")\n",
    "relative_error = abs(velocity_error) / actual_vz.max * 100\n",
    "print(f\"Relative error: {relative_error:.2f} %\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max Acceleration\n",
      "RocketPy:  58.46 m/s²\n",
      "Real data (derivative): 58.73 m/s²\n",
      "Absolute error: -0.27 m/s^2\n",
      "Relative error: 0.46 %\n"
     ]
    }
   ],
   "source": [
    "print(\"Max Acceleration\")\n",
    "print(f\"RocketPy:  {simulated_az.max:.2f} m/s²\")\n",
    "print(f\"Real data (derivative): {actual_az_filtered.max:.2f} m/s²\")\n",
    "acceleration_error = simulated_az.max - actual_az_filtered.max\n",
    "print(f\"Absolute error: {acceleration_error:.2f} m/s^2\")\n",
    "relative_error = abs(acceleration_error) / actual_az_filtered.max * 100\n",
    "print(f\"Relative error: {relative_error:.2f} %\")"
   ]
  }
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